David Chipman, a senior policy adviser at the Giffords Law Centre to Prevent Gun Violence, said: "A company has choices to make, to look if it's in the interests of their company to support people carrying guns that haven't been trained to use them.
"I would just want them [Facebook] to make that decision with eyes wide open. You don't get that training by answering multiple-guess questions on the internet."
In the state of Virginia, it is legal for non-residents to obtain a concealed carry licence by taking a test online.
Due to reciprocity agreements, these licences can be obtained by people in 30 other states.
The rules in their home state may be much more stringent. For example, thousands of Texans have obtained Virginia licences even though securing a Texas licence would have required hours of training.
The adverts on Facebook urge users to "jump on the legal loophole" before "gun-grabbing Democrats" close it.
Virginia State Police records show 8760 online permits were issued in 2017, up by 25 per cent on 2016.
Concealed Online, the California firm that created the online test and profits from fees, has spent US$3.7 million on more than 16,000 adverts.
Facebook said the adverts did not violate its policies. They were classed as "political advertising" because they included "advocacy" related to an issue of national importance, specifically guns.